Graphics-Explorer
Is a function and equation plotter.
It also supports inverse-, parametric- and implicit functions.
Constants a,b,c are changeable by a mouseclick,
graphics adjust instantaneous.
Example: type y = a*sin(b*x+c).
Changing the constants a, b, c shows amplitude, period and phase.
Also Graphic-Explorer calculates polynomials and exponential
equations given a set of points.
Following articles explain algorithms used:
Translate a formula string into basic arithmetic operations
How to plot functions
The least-squares method
Exponential curve fitting
Solve systems of linear equations
Select STEP mode to observe Gauss/Jordan elimination step by step.
Systems of 2×2 to 9×9 equations may be solved.
Number system conversion
This program converts decimal numbers to 2..16 number systems.
Prime numbers generator
Solve equation Ax+By=C
This is a Diophantic equation.
A,B,C,x,y are integers.
Algorithm description
Factorize numbers
Factors are considered the building blocks of numbers.
This program factorizes numbers and calculates
the Greatest Common Divisor (GCD)
Floating point number investigation
For those who are curious what the IEEE format looks like.
DC networks calculator
This program calculates voltages and currents in networks
of voltage sources (batteries) and resistors.
It uses the Kirchhoff laws to build a system of linear equations
which are solved by Gauss elimination.
mechanical calculator
These machines were used until the 70’s.
I got one from my father but my children destroyed it while playing.
So, I decided to write a simulator.
The pinwheel calculator allows for addition, subtraction,
multiplication and division of numbers
almost identical to the pencil and paper method.
A bit calculator
similar to the pinwheel calculator above
but bitwise operations.
Carries may be blocked so calculation
is the same as used in checksum generation.
Polygon overlap calculator
This program calculates the overlapping area of two polygons.
Method: divide polygons in triangles and use Heron’s formula
to calculate the area.
algorithm description
polygon triangulation
A large Dutch newspaper had a weekly article called “unclouded” , showing pictures of cities taken from an airplane.
Later, readers could ask for a picture of their living area.
Problem was finding a picture which best matched the area.
People asked me to write a program for this service.
Above is the result.
Stable bookshelves
Bookshelves of horizontal and vertical boards need diagonal
connections to be stable.
Question is: what is the minimal required number of such braces
and where to put them.
This project is an application of graph theory.
Rigid frames correspond to connected bipartite graphs.
